Please help with this and explain the answer.
1 answer:
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Answer:
- 3 4/5
- 3 1/5
- 16 1/5
- 31 1/4
- 4/5
Step-by-step explanation:
An improper fraction is converted to a mixed number by doing integer division and expressing the remainder as a fraction with the divisor as the denominator.
... 19/5 = (3·5 +4)/5 = 3 4/5
The expressions involving exponents are evaluated to mixed numbers according to the Order of Operations. The exponent is evaluated before division, so ...
1. 4^2/5 = (4^2)/5 = 16/5 = 3 1/5
2. 3^4/5 = (3^4)/5 = 81/5 = 16 1/5
3. 5^3/4 = (5^3)/4 = 125/4 = 31 1/4
4. 4^1/5 = (4^1)/5 = 4/5
_____
If you intended fractional exponents, according to the Order of Operations, you need to put that fraction in parentheses. The denominator of the fraction is the root of the base number to the numerator power.
... 4^(2/5) = (4^2)^(1/5) = 16^(1/5) =
Step-by-step explanation:
It's the <em>DISTRIBUTIVE PROPERTY</em>:
m(a + b) = ma + mb
Other properties:
Commutative Property:
<em>of addition: a + b = b + a</em>
<em>of multiplication: a · b = b · a</em>
Associative Property:
<em>of addition: (a + b) + c = a + (b + c)</em>
<em>of multiplication: (a · b) · c = a · (b · c)</em>